A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
To find the percent of sodium chloride in the remaining solution, we'll calculate the initial amount of sodium chloride and then find the percentage after 2500 gallons of water evaporate.
Initial amount of sodium chloride = 5% of 10,000 gallons Initial amount of sodium chloride = (5/100) * 10,000 = 500 gallons
Initially, there are 500 gallons of sodium chloride in the solution.
After 2500 gallons of water evaporate, there are 10,000 - 2500 = 7500 gallons of liquid remaining in the tank.
Now, to find the percentage of sodium chloride in the remaining solution:
Percentage of sodium chloride = (Amount of sodium chloride / Total volume of solution) * 100
Percentage of sodium chloride = (500 gallons / 7500 gallons) * 100
Percentage of sodium chloride ≈ 6.67%
So, the remaining solution will be approximately 6.67% sodium chloride.
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